Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600a |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15745024000000 = 220 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33100,2310000] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:1581:1] |
Generators of the group modulo torsion |
j |
979146657/3844 |
j-invariant |
L |
5.5617516222918 |
L(r)(E,1)/r! |
Ω |
0.70122916423647 |
Real period |
R |
3.9657161352867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49600bw2 1550a2 1984b2 |
Quadratic twists by: -4 8 5 |